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Finding the Fourth Proportional to 9,596.16, 14,390.13 and 3,354.30

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Solution

The fourth proportional to 9,596.16, 14,390.13 and 3,354.30 is: 5,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.16 : 14,390.13 = 3,354.30 : x
  2. Step 2: Convert to fraction form
    9,596.16/14,390.13 = 3,354.30/x
  3. Step 3: Cross multiply
    9,596.16x = 14,390.13 × 3,354.30
  4. Step 4: Simplify right side
    9,596.16x = 48,268,813.06
  5. Step 5: Solve for x
    x = 48,268,813.06/9,596.16
  6. Step 6: Final answer
    x = 5,030.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.